What is the inverse of f(x)=((x+2))/((x+12)) ?

The inverse of f(x)=((x+2))/((x+12)) is (2-12x)/(x-1)

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inverse of f(x)=((x+2))/((x+12))

inverse

f (x) = \frac{( x + 2 )}{( x + 12 )}

\frac{2 - 12 x}{x - 1}

Solution steps

y = \frac{x + 2}{x + 12}

Replace

x

with

y

x = \frac{y + 2}{y + 12}

Solve for

y, x = \frac{y + 2}{y + 12}

\frac{2 - 12 x}{x - 1}

What is the inverse of f(x)=((x+2))/((x+12)) ?
The inverse of f(x)=((x+2))/((x+12)) is (2-12x)/(x-1)